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jonny [76]
3 years ago
5

Adam calculates his annual commission, y, using the model y= 0.28x, where x represents his year. What is the meaning of the x-in

tercept in the model?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

<u>Complete Question:</u>

Adam calculates his annual commission, y, using the model y = 0.28 x, where x represents his total sales for the year. What is the meaning of the x-intercept in the model?

A) the x-intercept represents Adam's base pay

B) the x-intercept represents the highest salary Adam can earn

C) the x-intercept represents Adam's total sales when he earned no commission

D) the x-intercept represents Adam's commission pay when he had zero total sales

<u>Correct Answer:</u>

"the x-intercept represents Adam's total sales when he earned no commission" is the meaning of the x-intercept in the model

option C

<u>Step-by-step explanation:</u>

Here ,basically equation of straight line is given as  y = 0.28 x . x-intercept is when y=0 i.e.

⇒ y=0.28x

⇒ 0=0.28x

⇒ x=0

Therefore , x-intercept in the model means when annual is commission is zero , as he haven't worked till now . So, correct option C).

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Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
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When we are given 3 sides, we try to solve the angles first by using the
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cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
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sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


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P(B|A) expressed in simplest form is  8/105.

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